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Finding the Fourth Proportional to 395.38, 545.63 and 220.72

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Solution

The fourth proportional to 395.38, 545.63 and 220.72 is: 304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.38 : 545.63 = 220.72 : x
  2. Step 2: Convert to fraction form
    395.38/545.63 = 220.72/x
  3. Step 3: Cross multiply
    395.38x = 545.63 × 220.72
  4. Step 4: Simplify right side
    395.38x = 120,427.62
  5. Step 5: Solve for x
    x = 120,427.62/395.38
  6. Step 6: Final answer
    x = 304.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.